Some power series with random gaps
نویسندگان
چکیده
منابع مشابه
On lacunary series with random gaps
We prove Strassen’s law of the iterated logarithm for sums ∑N k=1 f(nkx), where f is a smooth periodic function on the real line and (nk)k≥1 is an increasing random sequence. Our results show that classical results of the theory of lacunary series remain valid for sequences with random gaps, even in the nonharmonic case and if the Hadamard gap condition fails.
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ژورنال
عنوان ژورنال: Advances in Applied Probability
سال: 1989
ISSN: 0001-8678,1475-6064
DOI: 10.2307/1427645